1291567392 has 144 divisors (see below), whose sum is σ = 3886541568. Its totient is φ = 406010880.

The previous prime is 1291567373. The next prime is 1291567411. The reversal of 1291567392 is 2937651921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1291567373) and next prime (1291567411).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482217 + ... + 484887.

It is an arithmetic number, because the mean of its divisors is an integer number (26989872).

Almost surely, 2^1291567392 is an apocalyptic number.

1291567392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1291567392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943270784).

1291567392 is an abundant number, since it is smaller than the sum of its proper divisors (2594974176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1291567392 is a wasteful number, since it uses less digits than its factorization.

1291567392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2772 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 1291567392 is about 35938.3832691455. The cubic root of 1291567392 is about 1089.0279446520.

The spelling of 1291567392 in words is "one billion, two hundred ninety-one million, five hundred sixty-seven thousand, three hundred ninety-two".